28362634560 has 504 divisors, whose sum is σ = 111233285280. Its totient is φ = 6611963904.

The previous prime is 28362634513. The next prime is 28362634577. The reversal of 28362634560 is 6543626382.

It is a happy number.

28362634560 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 2 + 634 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9246147 + ... + 9249213.

Almost surely, 2^28362634560 is an apocalyptic number.

28362634560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28362634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55616642640).

28362634560 is an abundant number, since it is smaller than the sum of its proper divisors (82870650720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28362634560 is a wasteful number, since it uses less digits than its factorization.

28362634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 28362634560 in words is "twenty-eight billion, three hundred sixty-two million, six hundred thirty-four thousand, five hundred sixty".